Type-B formal higher spin gravity

Abstract We propose non-linear equations for the formal Type-B Higher Spin Gravity that is dual to the free fermion or to the Gross-Neveu model, depending on the boundary conditions. The equations are directly obtained from the first principles: the gauge invariance of the CFT partition function on...

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Main Authors: Maxim Grigoriev, Evgeny Skvortsov
Format: Article
Language:English
Published: SpringerOpen 2018-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:http://link.springer.com/article/10.1007/JHEP05(2018)138
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spelling doaj-0b86af020ba34c7682534784e22d9cad2020-11-25T00:21:02ZengSpringerOpenJournal of High Energy Physics1029-84792018-05-012018513810.1007/JHEP05(2018)138Type-B formal higher spin gravityMaxim Grigoriev0Evgeny Skvortsov1Arnold Sommerfeld Center for Theoretical Physics, Ludwig-Maximilians University MunichLebedev Institute of PhysicsAbstract We propose non-linear equations for the formal Type-B Higher Spin Gravity that is dual to the free fermion or to the Gross-Neveu model, depending on the boundary conditions. The equations are directly obtained from the first principles: the gauge invariance of the CFT partition function on an arbitrary background for single-trace operators. We also get equations describing propagation of certain mixed-symmetry fields over higher spin flat backgrounds.http://link.springer.com/article/10.1007/JHEP05(2018)138AdS-CFT CorrespondenceField Theories in Higher DimensionsHigher Spin SymmetryBRST Quantization
collection DOAJ
language English
format Article
sources DOAJ
author Maxim Grigoriev
Evgeny Skvortsov
spellingShingle Maxim Grigoriev
Evgeny Skvortsov
Type-B formal higher spin gravity
Journal of High Energy Physics
AdS-CFT Correspondence
Field Theories in Higher Dimensions
Higher Spin Symmetry
BRST Quantization
author_facet Maxim Grigoriev
Evgeny Skvortsov
author_sort Maxim Grigoriev
title Type-B formal higher spin gravity
title_short Type-B formal higher spin gravity
title_full Type-B formal higher spin gravity
title_fullStr Type-B formal higher spin gravity
title_full_unstemmed Type-B formal higher spin gravity
title_sort type-b formal higher spin gravity
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2018-05-01
description Abstract We propose non-linear equations for the formal Type-B Higher Spin Gravity that is dual to the free fermion or to the Gross-Neveu model, depending on the boundary conditions. The equations are directly obtained from the first principles: the gauge invariance of the CFT partition function on an arbitrary background for single-trace operators. We also get equations describing propagation of certain mixed-symmetry fields over higher spin flat backgrounds.
topic AdS-CFT Correspondence
Field Theories in Higher Dimensions
Higher Spin Symmetry
BRST Quantization
url http://link.springer.com/article/10.1007/JHEP05(2018)138
work_keys_str_mv AT maximgrigoriev typebformalhigherspingravity
AT evgenyskvortsov typebformalhigherspingravity
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